SSC CGL 2024 PYQ — Question 63

SSC CGL - 18 Sep 2024 - Shift 1 • Quantitative Aptitude • Q63

Pipe X can fill a tank in 60 hours while pipe Y can fill the tank in 72 hours. Both pipes are opened together for 20 hours. How much of the tank is left empty?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. ​​7187\over 18 .

Pipe X can fill a tank in 60 hours while pipe Y can fill the tank in 72 hours

L.C.M(60, and 72) = 360

The efficiency of X = 360/60 = 6 units

The efficiency of Y = 360/72 = 5 units

Both pipes are opened together for 20 hours

Tank filled in 20 hrs = 20 × (6 + 5) = 20 × 11 = 220

Remaining units = 360 - 220 = 140 units

Remaining tank = 140/360 = 7187\over 18